34135686783 has 24 divisors (see below), whose sum is σ = 55040494080. Its totient is φ = 20207169360.

The previous prime is 34135686751. The next prime is 34135686841. The reversal of 34135686783 is 38768653143.

34135686783 is a `hidden beast` number, since 3 + 4 + 1 + 3 + 568 + 6 + 78 + 3 = 666.

It is not a de Polignac number, because 34135686783 - 2⁵ = 34135686751 is a prime.

It is a super-2 number, since 2×34135686783² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34135686703) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4005103 + ... + 4013616.

It is an arithmetic number, because the mean of its divisors is an integer number (2293353920).

Almost surely, 2^34135686783 is an apocalyptic number.

34135686783 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

34135686783 is a deficient number, since it is larger than the sum of its proper divisors (20904807297).

34135686783 is a wasteful number, since it uses less digits than its factorization.

34135686783 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8018779 (or 8018776 counting only the distinct ones).

The product of its digits is 8709120, while the sum is 54.

The spelling of 34135686783 in words is "thirty-four billion, one hundred thirty-five million, six hundred eighty-six thousand, seven hundred eighty-three".